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106528744 = 23721914303
BaseRepresentation
bin1100101100101…
…11111111101000
321102110012222001
412112113333220
5204232404434
614323140344
72432323300
oct626277750
9242405861
10106528744
1155150693
122b8146b4
13190bb37a
1410210600
159544114
hex6597fe8

106528744 has 48 divisors (see below), whose sum is σ = 244598400. Its totient is φ = 43249248.

The previous prime is 106528699. The next prime is 106528777. The reversal of 106528744 is 447825601.

It is a super-2 number, since 2×1065287442 = 22696746596435072, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297 + ... + 14599.

It is an arithmetic number, because the mean of its divisors is an integer number (5095800).

Almost surely, 2106528744 is an apocalyptic number.

106528744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106528744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122299200).

106528744 is an abundant number, since it is smaller than the sum of its proper divisors (138069656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106528744 is a wasteful number, since it uses less digits than its factorization.

106528744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14342 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 106528744 is about 10321.2762776703. The cubic root of 106528744 is about 474.0479456803.

The spelling of 106528744 in words is "one hundred six million, five hundred twenty-eight thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 3724 7448 14303 28606 57212 100121 114424 200242 271757 400484 543514 700847 800968 1087028 1401694 1902299 2174056 2803388 3804598 5606776 7609196 13316093 15218392 26632186 53264372 106528744